Finding the Third Proportional to 187,830 and 384,300

Step by Step Solution

1. Step 1: Write the proportion equation
   187,830 : 384,300 = 384,300 : x
2. Step 2: Convert to fraction form
   187,830/384,300 = 384,300/x
3. Step 3: Cross multiply
   187,830x = 384,300 × 384,300
4. Step 4: Simplify right side
   187,830x = 147,686,490,000
5. Step 5: Solve for x
   x = 147,686,490,000/187,830
6. Step 6: Final answer
   x = 786,277.43